The generator matrix

1 0 0 0 0 0 1 1 1 1 0 1 2 1 1 0 0 1 1 1 2 0 1 0 0 1 1 1 2 1 2 1 1 2 0 1 0 1 1 1 1 2 1 1 0 0 0 2 2 2 1 1 0 1 0 0 2 1 1 1 1 1 2 1 1 2 1 2 1 1 0 0 0 0 1 1 2 0 2 1 2 2 1 0 1
0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 0 2 2 0 0 2 1 1 1 1 1 1 3 1 3 3 1 1 1 1 1 1 1 1 1 3 3 1 3 1 2 1 3 2 3 3 1 1 2 0 1 1 1 0 2 1 2 1 2 2 2 0 2 1 1 1 2 1 2 0
0 0 1 0 0 0 0 0 0 0 2 2 1 1 3 1 1 0 1 1 1 1 3 1 1 1 3 0 2 1 2 3 0 1 2 3 1 2 3 0 1 3 3 2 0 1 0 3 2 0 0 1 2 2 1 1 2 0 2 3 0 1 1 3 0 2 0 1 2 1 2 0 0 2 1 0 1 0 3 1 3 1 2 1 0
0 0 0 1 0 0 0 1 2 3 1 0 0 0 2 3 1 1 3 1 2 3 3 0 3 2 0 1 2 3 1 0 2 1 3 1 2 2 1 2 2 0 3 3 2 2 1 3 2 1 3 1 1 3 1 2 1 1 3 0 1 0 0 3 3 1 3 3 1 2 1 0 3 2 2 1 3 1 1 0 2 0 2 3 0
0 0 0 0 1 0 1 2 0 3 1 3 1 2 1 0 3 0 1 2 1 2 2 0 1 0 3 3 1 1 0 0 1 3 3 1 2 2 2 3 3 3 2 1 3 3 0 0 0 1 0 1 0 2 3 0 2 3 0 2 1 0 3 1 1 1 3 3 0 1 1 1 2 1 2 1 0 2 1 1 1 3 3 0 0
0 0 0 0 0 1 2 0 1 3 1 1 1 3 0 1 0 1 2 2 0 0 3 3 1 2 1 2 1 1 3 3 2 2 1 3 1 0 0 3 1 0 1 0 1 3 3 3 1 0 0 2 0 1 1 1 1 1 0 2 0 1 3 3 3 2 2 1 0 1 1 1 1 1 3 1 0 1 1 2 3 0 3 3 1

generates a code of length 85 over Z4 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+30x^74+102x^75+151x^76+210x^77+259x^78+246x^79+224x^80+200x^81+220x^82+238x^83+189x^84+182x^85+205x^86+194x^87+217x^88+176x^89+125x^90+198x^91+158x^92+120x^93+132x^94+74x^95+58x^96+54x^97+45x^98+30x^99+18x^100+16x^101+8x^102+6x^103+8x^104+2x^105

The gray image is a code over GF(2) with n=170, k=12 and d=74.
This code was found by Heurico 1.10 in 1.11 seconds.